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Beliebt Geometry >

49x^2+4y^2=196

Lösung

49 x^{2} + 4 y^{2} = 196

Lösung

(h, k) = (0, 0), a = 2, b = 7

Schritte zur Lösung

49 x^{2} + 4 y^{2} = 196

Rewrite

49 x^{2} + 4 y^{2} = 196

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 7, a = 2

Graph

Beliebte Beispiele

18y^2+24y+12x^2-12x=1

18 y^{2} + 24 y + 12 x^{2} - 12 x = 1

x^2+2y^2-2x-4y=-1

x^{2} + 2 y^{2} - 2 x - 4 y = - 1

(x^2)/(7^2)+(y^2)/(3^2)=1

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1

16x^2+25y^2-64x+150y=-279

16 x^{2} + 25 y^{2} - 64 x + 150 y = - 279

4x^2+y^2-40x+4y+68=0

4 x^{2} + y^{2} - 40 x + 4 y + 68 = 0